1) unique factorization integral semigroup
唯一分解整半群
2) unique factorization semigroup
唯一分半群
3) unique factorization domain
唯一分解整环
1.
Inthis paper,we summarize some sufficient criteria about anirreducible polynomial of degree n over aunique factorization domain R.
修改文献[6]中定理的条件,获得了两个判别唯一分解整环R上偶次多项式不可约的充分性定理,并得到了两个新的推论。
2.
We give a method of determining irreducible polynomials over a unique factorization domain.
给出了唯一分解整环上多项式不可约的一个判别法。
3.
In this paper, we obtain a sufficient condition that a polynomial of degree n (n>2) is irreducible over a unique factorization domain R or its quotient field.
本文获得了一个判别唯一分解整环R及其商域Q上的n次 (n >2 )多项式不可约的充分条
5) uniqueness of semigroups
半群的唯一性
1.
This paper consists of two parts: one is about transportation inequalities, and another about uniqueness of semigroups generated by diffusion operators.
本文包括两个部分的内容:一是传输不等式;二是扩散过程生成半群的唯一性。
6) unique factorization domain
唯一分解环
1.
From field to unique factorization domain and its application;
从域到唯一分解环及其应用
2.
On the unique factorization domain,it gives the generalized result about the system of bivariate homogeneous nonconstant polynomials, and hence obtains the generalized result about the system of univariate nonconstant polynomials.
推广了ＫｕｎｉｏＫａｋｉｅ定理，得到了其在唯一分解环上关于一般二元齐次非常元多项式系的相应结果；并进一步给出了其在唯一分解环上关于一般一元非常元多项式系的对应形式。
3.
This paper generalizes the classical result, the existence criterion of nonconstantcommon divisors of two polynomials in the polynomial ring R[ x], and obtains the corresponding result abeut a general polyndrial system in the polynmial ring R[x], where R isan unique factorization domain.
推广了经典结果，即唯一分解环R上多项式环R[x]中两个多项式的非常无公因子存在性判别准则，得到了唯一分解环R上多项式环R[x]中的一般多项式系与之相应的结果。
补充资料：半连续分解
半连续分解
semi-continuous decomposition
半连续分解t翎111心阅恤加曰昭d阴n详反tion;肋日lyllenPe-p，朋oep跳6“en”e]，上(下)半连续分解(即详r(fo忧r)se而一eont访uous decomPosition) 一个分解(deComPosition)D，即拓扑空间X的不相交闭覆盖，使得商映射(qUOtieni Inapping)P:X~D是闭(开)的(见开映射(open Tnapping);闭映射(closed mapping)). M.H.B响暇x阳以丽撰自苏华、胡师度译
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参考词条